OOIR: Observatory of International Research

Papers

(The TQCC of Archive for Rational Mechanics and Analysis is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)

Article	Citations
Correction to: Cauchy Problem for Incompressible Neo-Hookean Materials	38
A Variational Model of Charged Drops in Dielectrically Matched Binary Fluids: The Effect of Charge Discreteness	35
Publisher Correction to: $$L^2$$-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type	30
Symmetry Results for Compactly Supported Steady Solutions of the 2D Euler Equations	30
A New Gauge for Gravitational Perturbations of Kerr Spacetimes II: The Linear Stability of Schwarzschild Revisited	29
Hydrodynamic Limit of Multiscale Viscoelastic Models for Rigid Particle Suspensions	28
Chaotic Phenomena for Generalised N-centre Problems	23
Benjamin–Feir Instability of Stokes Waves in Finite Depth	22
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	21
Stability of the Nonlinear Milne Problem for Radiative Heat Transfer System	21
An Intrinsically Hydrodynamic Approach to Multidimensional QHD Systems	21
Exterior Stability of Minkowski Space in Generalized Harmonic Gauge	21
Uniform Vorticity Depletion and Inviscid Damping for Periodic Shear Flows in the High Reynolds Number Regime	21
About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials	21
Instability and Spectrum of the Linearized Two-Phase Fluids Interface Problem at Shear Flows	20
Interior Regularity for Two-Dimensional Stationary Q-Valued Maps	20
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio	19
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	19
The Kinetic and Hydrodynamic Bohm Criteria for Plasma Sheath Formation	18
Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements	18
Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	17
A Kato-Type Criterion for Vanishing Viscosity Near Onsager’s Critical Regularity	16
Epsilon-Regularity for Griffith Almost-Minimizers in Any Dimension Under a Separating Condition	16
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	16
Recovery of Coefficients in Semilinear Transport Equations	15

Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem	15
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	15
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes	15
A Sharp Gradient Estimate and $$W^{2,q}$$ Regularity for the Prescribed Mean Curvature Equation in the Lorentz-Minkowski Space	15
Large-Amplitude Steady Solitary Water Waves with Constant Vorticity	14
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	14
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem	14
Grand-Canonical Optimal Transport	14
The Gradient Flow for Entropy on Closed Planar Curves	14
Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise	14
Calogero Type Bounds in Two Dimensions	14
Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure	14
Quantitative Steepness, Semi-FKPP Reactions, and Pushmi-Pullyu Fronts	14
Asymptotic Stability of Two-Dimensional Couette Flow in a Viscous Fluid	13
Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity	13
Minkowski Inequalities via Nonlinear Potential Theory	13
Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	13
On 1d Quadratic Klein–Gordon Equations with a Potential and Symmetries	13
Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation	13
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D	13
On Regular Solutions for Three-Dimensional Full Compressible Navier–Stokes Equations with Degenerate Viscosities and Far Field Vacuum	12
Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets	12
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow	12
Linear Instability Analysis on Compressible Navier–Stokes Equations with Strong Boundary Layer	11
On the Regularity of Non-scattering Anisotropic Inhomogeneities	11
Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$	11
Phase-Field Approximation of a Vectorial, Geometrically Nonlinear Cohesive Fracture Energy	11
The Rayleigh–Bénard Problem for Compressible Fluid Flows	11
Coagulation Equations for Non-spherical Clusters	11
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators	11
Flat Blow-up Solutions for the Complex Ginzburg Landau Equation	11
Isoperimetric Residues and a Mesoscale Flatness Criterion for Hypersurfaces with Bounded Mean Curvature	11
A Uniform Bound for Solutions to a Thermo-diffusive System	10
Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System	10
On the Extreme Rays of the Cone of $$3\times 3$$ Quasiconvex Quadratic Forms: Extremal Determinants Versus Extremal and Polyconvex Forms	10
Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	10
Weak Solutions of Mullins–Sekerka Flow as a Hilbert Space Gradient Flow	9
One Dimensional Energy Cascades in a Fractional Quasilinear NLS	9
On Explicit $$L^2$$-Convergence Rate Estimate for Underdamped Langevin Dynamics	9
Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains	9
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	9
Green’s Function and Pointwise Behavior of the One-Dimensional Vlasov–Maxwell–Boltzmann System	9
Remarkable Localized Integral Identities for 3D Compressible Euler Flow and the Double-Null Framework	9
Regularity and Nondegeneracy for Tumor Growth with Nutrients	9
Conducting Flat Drops in a Confining Potential	9
On the Regularity of Optimal Transports Between Degenerate Densities	9
Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms	9
First Order Expansion in the Semiclassical Limit of the Levy–Lieb Functional	9
Transport Equations and Flows with One-Sided Lipschitz Velocity Fields	8
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit	8

Quantitative Homogenization for the Obstacle Problem and Its Free Boundary	8
Nonlinear Stability and Existence of Two-Dimensional Compressible Current-Vortex Sheets	8
Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional	8
A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments	8
Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants	8
Asymptotic Propagation Speeds of the Fisher-KPP Equation with an Effective Boundary Condition on a Road	8
Higher Order Boundary Harnack Principle via Degenerate Equations	8
Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type	8
Liquid Drop with Capillarity and Rotating Traveling Waves	8
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion	8
Linear Vortex Symmetrization: The Spectral Density Function	8
Regularity for Double Phase Problems at Nearly Linear Growth	7
Regularity Structures for Quasilinear Singular SPDEs	7
Stable Recovery of Coefficients in an Inverse Fault Friction Problem	7
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws	7
Riemann’s Non-differentiable Function and the Binormal Curvature Flow	7
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost	7
The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition	7
Two-Dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections	7
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films	7
Stacking Faults in the Limit of a Discrete Model for Partial Edge Dislocations	7
Delaunay-Like Compact Equilibria in the Liquid Drop Model	7
Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect	7
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel	7
Boundary Layer Formation in the Quasigeostrophic Model Near Nonperiodic Rough Coasts	7
The $$L^p$$ Estimate for the Gain Term of the Boltzmann Collision Operator and Its Application	7
On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations	7
Long Time Stability of Hamiltonian Derivative Nonlinear Schrödinger Equations Without Potential	7
Well-Posedness of the Lenard–Balescu Equation with Smooth Interactions	6
A New Perspective on Wasserstein Distances for Kinetic Problems	6
Convergence of Deterministic Growth Models	6
Local Well-Posedness of the Capillary-Gravity Water Waves with Acute Contact Angles	6
Pattern-Selective Feedback Stabilization of Ginzburg–Landau Spiral Waves	6
Long Time Behavior of a Quasilinear Hyperbolic System Modelling Elastic Membranes	6
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes	6
Local Decay Estimates	6
Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	6
Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws	6
Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data	6
Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian	6
Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime	6
Traveling Wave Solutions to the One-Phase Muskat Problem: Existence and Stability	6
Smoothness of Collapsed Regions in a Capillarity Model for Soap Films	6
Ensemble Equivalence for Mean Field Models and Plurisubharmonicity	6